First Order Second Order Laplace Transforms Additional Topics Applications, Practice
Separation of Variables
Linear
Integrating Factors (Linear)
Substitution
Exact Equations
Integrating Factors (Exact)
Linear
Constant Coefficients
Substitution
Reduction of Order
Undetermined Coefficients
Variation of Parameters
Polynomial Coefficients
Cauchy-Euler Equations
Chebyshev Equations
Laplace Transforms
Unit Step Function
Unit Impulse Function
Square Wave
Shifting Theorems
Solve Initial Value Problems
Classify Differential Equations
Fourier Series
Slope Fields
Wronskian
Existence and Uniqueness
Boundary Value Problems
Euler's Method
Inhomogeneous ODE's
Resonance
Partial Differential Equations
Linear Systems
Exponential Growth/Decay
Population Dynamics
Projectile Motion
Chemical Concentration
Fluids (Mixing)
Practice Problems
Practice Exam List
Exam A1
Exam A3
Exam B2

You CAN Ace Differential Equations

17calculus > differential equations > various topics

### Differential Equations Alpha List

 Boundary Value Problems Cauchy-Euler Equations Chebyshev Equations Chemical Concentration Classify Differential Equations Constant Coefficients Euler's Method Exact Equations Existence and Uniqueness Exponential Growth/Decay First Order, Linear Fluids (Mixing) Fourier Series Inhomogeneous ODE's Integrating Factors (Exact) Integrating Factors (Linear) Laplace Transforms Linear Systems Partial Differential Equations Polynomial Coefficients Population Dynamics Projectile Motion Reduction of Order Resonance Second Order, Linear Separation of Variables Shifting Theorems Slope Fields Solve Initial Value Problems Square Wave Substitution Undetermined Coefficients Unit Impulse Function Unit Step Function Variation of Parameters Wronskian

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Various Differential Equations Topics

This page contains several differential equations topics that are not discussed in detail but we provide some overview information and maybe a video or two, as well as links to other pages with more in-depth information, if we have any. We may expand these topics as a later date but, for now, this will get you started. Here is a list of topics on this page.

Basic Topics Advanced Topics Existence and Uniqueness Partial Differential Equations Boundary Value Problems Linear Systems Euler's Method Inhomogeneous ODEs Resonance
 Existence and Uniqueness

Here is a discussion of the Lipschitz condition, which is related to whether a differential equation has a solution and, if so, whether the solution is unique.

 Dr Chris Tisdell - Lipschitz Condition
 Boundary Value Problems

Here are three videos related to boundary value problems.

 Dr Chris Tisdell - advanced differential equations and boundary value problems
 Dr Chris Tisdell - how to determine eigenvalues of a boundary value problem
 Dr Chris Tisdell - D'alembert's approach for boundary value problems
 Euler's Method
 MIT OCW - Title: Lec 2 | MIT 18.03 Differential Equations, Spring 2006;Topics: Euler's Numerical Method for y'=f(x,y) and its Generalizations
 Inhomogeneous ODEs
 MIT OCW - Title: Lec 13 | MIT 18.03 Differential Equations, Spring 2006Topics: Finding Particular Sto Inhomogeneous ODE's: Operator and Solution Formulas Involving Exponentials
 Resonance
 MIT OCW - Title: Lec 14 | MIT 18.03 Differential Equations, Spring 2006Topic: Interpretation of the Exceptional Case: Resonance
 Partial Differential Equations

Here are two videos related to pde's using the method of characteristics. We highly recommend this guy's videos.

 Dr Chris Tisdell - This first video introduces the topic and gives some examples.
 Dr Chris Tisdell - This second video gives more detail and another example.
 Linear Systems
 Dr Chris Tisdell - How to solve systems of ODEs without matrices
 Dr Chris Tisdell - Basic solution form to systems of differential equations
 Dr Chris Tisdell - How to solve systems of differential equations
 PatrickJMT - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 1
 PatrickJMT - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 2